Advances in Operator Theory

$T1$ theorem for inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces and its application

Fanghui Liao, Zongguang Liu, and Hongbin Wang

Advance publication

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Abstract

Using Calderón's reproducing formulas and almost orthogonal estimates, the $T1$ theorem for the inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces is obtained. As an application, new characterizations for these spaces with “half” the usual conditions of the approximate to the identity are presented.

Article information

Source
Adv. Oper. Theory , Number (2018), 16 pages.

Dates
Received: 22 September 2017
Accepted: 28 January 2018
First available in Project Euclid: 7 February 2018

Permanent link to this document
https://projecteuclid.org/euclid.aot/1518016383

Digital Object Identifier
doi:10.15352/aot.1709-1236

Subjects
Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Secondary: 42B35: Function spaces arising in harmonic analysis

Keywords
$T1$ theorem Triebel–Lizorkin space Besov space RD-space

Citation

Liao, Fanghui; Liu, Zongguang; Wang, Hongbin. $T1$ theorem for inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces and its application. Adv. Oper. Theory, advance publication, 7 February 2018. doi:10.15352/aot.1709-1236. https://projecteuclid.org/euclid.aot/1518016383


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